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Finding the Third Proportional to 2,162,394 and 3,243,591

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Solution

The third proportional to 2,162,394 and 3,243,591 is: 4,865,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162,394 : 3,243,591 = 3,243,591 : x
  2. Step 2: Convert to fraction form
    2,162,394/3,243,591 = 3,243,591/x
  3. Step 3: Cross multiply
    2,162,394x = 3,243,591 × 3,243,591
  4. Step 4: Simplify right side
    2,162,394x = 10,520,882,575,281
  5. Step 5: Solve for x
    x = 10,520,882,575,281/2,162,394
  6. Step 6: Final answer
    x = 4,865,386.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.